On certain arithmetic automorphic forms for SU(1,q)

DOI10.1007/BF01389855zbMath0408.10016MaRDI QIDQ1258321

Stephen S. Kudla

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142639

zbMATH Keywords

LiftingElliptic Modular FormsSiegel Modular FormsWeil RepresentationAutomorphic Forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Automorphic forms, one variable (11F12)

Related Items (12)

Correspondence of modular forms to cycles associated to \(Sp(p,q)\) ⋮ Construction of Hermitian modular forms of genus 2 from cusp forms of genus 1 ⋮ Picard modular forms and the cohomology of local systems on a Picard modular surface ⋮ Reflective obstructions of unitary modular varieties ⋮ Harmonic forms dual to geodesic cycles in quotients of SU(p,1) ⋮ Unnamed Item ⋮ On Maass wave forms and the imaginary quadratic Doi-Naganuma lifting ⋮ Theta lifting from elliptic cusp forms to automorphic forms on \(\mathrm{Sp}(1, q)\) ⋮ Unnamed Item ⋮ Theta functions defined by geodesic cycles in quotients of SU(p,1) ⋮ Modular forms ⋮ Generators for modules of vector-valued Picard modular forms

Cites Work

• Modular forms associated to real quadratic fields
• On some arithmetic properties of modular forms of one and several variables
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Theta functions with complex multiplication
• On the derivatives of theta functions and modular forms
• Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms
• On certain reciprocity-laws for theta functions and modular forms
• The arithmetic of automorphic forms with respect to a unitary group
• On modular forms of half integral weight
• Hermitian modular functions
• Modular forms of half integral weight and the integral of certain theta-functions
• On construction of holomorphic cusp forms of half integral weight
• On the Doi-Naganuma lifting associated with imaginary quadratic fields
• Theta-functions and Hilbert modular forms

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